Chapter 125: The Boundary Collapse Lemma

The formal proof. The ω-germ question — whether ω is inhabited, and what that inhabitation means — is diagrammatically unanswerable. Any S_D-internal proof of ω-inhabitation requires ω as presupposition, forcing ω to serve simultaneously as subject and tool. This reflexive collapse is not a concession of ignorance but the deepest methodological triumph of the series: the framework has located its own boundary with surgical precision. Part XII opens at this boundary and builds the bridge the reader must cross alone.